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Model Merging in the Essential Subspace

arXiv:2602.20208v1 Announce Type: new Abstract: Model merging aims to integrate multiple task-specific fine-tuned models derived from a shared pre-trained checkpoint into a single multi-task model without additional training. Despite extensive research, task interference remains a major obstacle that often undermines the performance of merged models. In this paper, we propose ESM (Essential Subspace Merging) , a robust framework for effective model merging. We begin by performing Principal Component Analysis (PCA) on feature shifts induced by parameter updates. The resulting principal directions span an essential subspace that dominantly influences feature representations. Each task's parameter update matrix is projected onto its respective essential subspace for low-rank decomposition before merging. This methodology mitigates inter-task interference while preserving core task-specific functionality. Furthermore, we introduce a multi-level polarized scaling strategy that amplifies pa

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Longhua Li, Lei Qi, Qi Tian, Xin Geng
· · 1 min read · 3 views

arXiv:2602.20208v1 Announce Type: new Abstract: Model merging aims to integrate multiple task-specific fine-tuned models derived from a shared pre-trained checkpoint into a single multi-task model without additional training. Despite extensive research, task interference remains a major obstacle that often undermines the performance of merged models. In this paper, we propose ESM (Essential Subspace Merging) , a robust framework for effective model merging. We begin by performing Principal Component Analysis (PCA) on feature shifts induced by parameter updates. The resulting principal directions span an essential subspace that dominantly influences feature representations. Each task's parameter update matrix is projected onto its respective essential subspace for low-rank decomposition before merging. This methodology mitigates inter-task interference while preserving core task-specific functionality. Furthermore, we introduce a multi-level polarized scaling strategy that amplifies parameters containing critical knowledge and suppresses redundant ones, preventing essential knowledge from being overwhelmed during fusion. Extensive experiments across multiple task sets and model scales demonstrate that our method achieves state-of-the-art performance in multi-task model merging.

Executive Summary

This paper proposes a novel framework, ESM (Essential Subspace Merging), to address the task interference issue in multi-task model merging. By applying Principal Component Analysis (PCA) to feature shifts induced by parameter updates, ESM identifies the essential subspace that dominantly influences feature representations. The method then projects each task's parameter update matrix onto its respective essential subspace for low-rank decomposition before merging. Additionally, a multi-level polarized scaling strategy is introduced to amplify critical knowledge and suppress redundant parameters. The authors demonstrate ESM's effectiveness through extensive experiments, achieving state-of-the-art performance in multi-task model merging. ESM's robustness and scalability make it a promising approach for real-world applications, including natural language processing and computer vision.

Key Points

  • ESM employs PCA to identify the essential subspace influencing feature representations.
  • Low-rank decomposition is used to mitigate inter-task interference.
  • Multi-level polarized scaling strategy amplifies critical knowledge and suppresses redundant parameters.

Merits

Strength in Addressing Task Interference

ESM effectively mitigates inter-task interference, enabling the creation of robust multi-task models.

Demerits

Limited Experiments on Complex Tasks

While the authors demonstrate ESM's effectiveness on various tasks, further experimentation on more complex and diverse tasks is necessary to fully evaluate its robustness.

Expert Commentary

While the authors' approach demonstrates significant improvements in multi-task model merging, further research is necessary to fully understand the implications of ESM on the broader landscape of machine learning and artificial intelligence. Specifically, a deeper exploration of ESM's interaction with other model fusion techniques and its potential applications in more complex tasks will provide valuable insights. Additionally, the scalability of ESM to larger and more diverse datasets is an area that warrants further investigation.

Recommendations

  • Future research should investigate ESM's performance on more complex and diverse tasks to assess its robustness and scalability.
  • Comparative studies with other model fusion techniques should be conducted to fully understand ESM's strengths and weaknesses.

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